Application of the homotopy perturbation method (HPM) and variational iteration method (VIM) to gas dynamic equation

Abstract

A gas-dynamic control system is one where the path of an object in flight is controlled by either the generation or redirection of gas flow out of an orifice rather than with the traditional movable control surfaces. In this paper considering Hes Homotopy perturbation and Variational iteration methods are calculated the homogeneous gas dynamics equations. The exact (analytic) solution of the equation is calculated in the form of a series with easily computable components like to Adomians decomposition method. The Comparison of result of HPM and VIM with Adomians decomposition method Show that they are agreement with them, and HPM, VIM can solve large class of nonlinear problems.